Information on Result #611275

Linear OA(2127, 513, F2, 29) (dual of [513, 386, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 218−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2126, 512, F2, 28) (dual of [512, 386, 29]-code) [i]Truncation
2Linear OA(2141, 528, F2, 29) (dual of [528, 387, 30]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2146, 532, F2, 31) (dual of [532, 386, 32]-code) [i]✔
4Linear OA(2148, 517, F2, 33) (dual of [517, 369, 34]-code) [i]✔
5Linear OA(2149, 521, F2, 33) (dual of [521, 372, 34]-code) [i]✔
6Linear OA(2150, 529, F2, 33) (dual of [529, 379, 34]-code) [i]✔
7Linear OA(2151, 537, F2, 33) (dual of [537, 386, 34]-code) [i]✔
8Linear OA(2128, 532, F2, 27) (dual of [532, 404, 28]-code) [i]✔
9Linear OA(2130, 517, F2, 29) (dual of [517, 387, 30]-code) [i]✔
10Linear OA(2131, 521, F2, 29) (dual of [521, 390, 30]-code) [i]✔
11Linear OA(2132, 529, F2, 29) (dual of [529, 397, 30]-code) [i]✔
12Linear OA(2133, 537, F2, 29) (dual of [537, 404, 30]-code) [i]✔
13Linear OOA(2127, 171, F2, 3, 29) (dual of [(171, 3), 386, 30]-NRT-code) [i]OOA Folding